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Finding the Third Proportional to 88,568 and 191,904

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Solution

The third proportional to 88,568 and 191,904 is: 415,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,568 : 191,904 = 191,904 : x
  2. Step 2: Convert to fraction form
    88,568/191,904 = 191,904/x
  3. Step 3: Cross multiply
    88,568x = 191,904 × 191,904
  4. Step 4: Simplify right side
    88,568x = 36,827,145,216
  5. Step 5: Solve for x
    x = 36,827,145,216/88,568
  6. Step 6: Final answer
    x = 415,806.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.